Initial boundary value problem and asymptotic stabilization of the Camassa-Holm equation on an interval |
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| Authors: | Vincent Perrollaz |
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| Affiliation: | Université Pierre et Marie Curie-Paris 6, UMR 7598 Laboratoire Jacques-Louis Lions, Paris, F-75005, France |
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| Abstract: | We investigate the nonhomogeneous initial boundary value problem for the Camassa-Holm equation on an interval. We provide a local in time existence theorem and a weak-strong uniqueness result. Next we establish a result on the global asymptotic stabilization problem by means of a boundary feedback law. |
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| Keywords: | Camassa-Holm equation Initial boundary value problem PDE control Asymptotic stabilization |
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